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Finding the Fourth Proportional to 1,331.23, 1,836.28 and 859.75

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Solution

The fourth proportional to 1,331.23, 1,836.28 and 859.75 is: 1,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.23 : 1,836.28 = 859.75 : x
  2. Step 2: Convert to fraction form
    1,331.23/1,836.28 = 859.75/x
  3. Step 3: Cross multiply
    1,331.23x = 1,836.28 × 859.75
  4. Step 4: Simplify right side
    1,331.23x = 1,578,741.73
  5. Step 5: Solve for x
    x = 1,578,741.73/1,331.23
  6. Step 6: Final answer
    x = 1,185.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.